Interaction and dynamical binding of spin waves or excitons in quantum Hall systems
Bibliographic record
Abstract
Interaction between spin waves (or excitons) moving in the lowest Landau level is studied using numerical diagonalization. Because of complicated statistics obeyed by these composite particles, their effective interaction is completely different from the dipoledipole interaction predicted in the model of independent (bosonic) waves. In particular, spin waves moving in the same direction attract one another, which leads to their dynamical binding. Effective interaction pseudopotentials V↑↑(k) and V↑↓(k) for two spin waves with equal wave vectors k and moving in the same or opposite directions are calculated and shown to obey power laws V(k) ∝ kα at small k. A high value of α↑↑ ≈ 4 explains the occurrence of linear bands in spin excitation spectra of quantum Hall droplets. PACS Nos.: 71.10.Pm, 71.35.y, 75.30.Ds
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".